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Finding the Fourth Proportional to 767,919,855.60, 1,059,721,856.22 and 415,488,113.43

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Solution

The fourth proportional to 767,919,855.60, 1,059,721,856.22 and 415,488,113.43 is: 573,369,514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,919,855.60 : 1,059,721,856.22 = 415,488,113.43 : x
  2. Step 2: Convert to fraction form
    767,919,855.60/1,059,721,856.22 = 415,488,113.43/x
  3. Step 3: Cross multiply
    767,919,855.60x = 1,059,721,856.22 × 415,488,113.43
  4. Step 4: Simplify right side
    767,919,855.60x = 440,301,834,801,385,536
  5. Step 5: Solve for x
    x = 440,301,834,801,385,536/767,919,855.60
  6. Step 6: Final answer
    x = 573,369,514.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.